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Finding the Fourth Proportional to 2,596.94, 3,583.73 and 1,418.00

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Solution

The fourth proportional to 2,596.94, 3,583.73 and 1,418.00 is: 1,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.94 : 3,583.73 = 1,418.00 : x
  2. Step 2: Convert to fraction form
    2,596.94/3,583.73 = 1,418.00/x
  3. Step 3: Cross multiply
    2,596.94x = 3,583.73 × 1,418.00
  4. Step 4: Simplify right side
    2,596.94x = 5,081,741.64
  5. Step 5: Solve for x
    x = 5,081,741.64/2,596.94
  6. Step 6: Final answer
    x = 1,956.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.